Analysis of xx-ph-00034768-12_05-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6...5.9...........5...8.6.....4...3......2..7.9..1.5....5..3..2..1....4. initial
Autosolve
position: 98.7.....6...5.9...5.......5...8.6.....4...3......2..7.9..1.5....5..3..2..1....4. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for G8,H8: 1..:
* DIS # H8: 1 # G6: 8 => CTR => G6: 1,4 * DIS # H8: 1 + G6: 1,4 # A7: 2,8 => CTR => A7: 3,4,7 * DIS # H8: 1 + G6: 1,4 + A7: 3,4,7 # C7: 3,4,7 => CTR => C7: 2,8 * DIS # H8: 1 + G6: 1,4 + A7: 3,4,7 + C7: 2,8 # G9: 3 => CTR => G9: 7,8 * DIS # H8: 1 + G6: 1,4 + A7: 3,4,7 + C7: 2,8 + G9: 7,8 # A6: 1,8 => CTR => A6: 3 * DIS # H8: 1 + G6: 1,4 + A7: 3,4,7 + C7: 2,8 + G9: 7,8 + A6: 3 => CTR => H8: 6,7,8,9 * STA H8: 6,7,8,9 * CNT 6 HDP CHAINS / 20 HYP OPENED
List of important HDP chains detected for H8,I9: 9..:
* DIS # H8: 9 # D9: 6,8 => CTR => D9: 2,5,9 * CNT 1 HDP CHAINS / 51 HYP OPENED
List of important HDP chains detected for F7,E8: 4..:
* DIS # E8: 4 # A7: 7,8 => CTR => A7: 2,3,4 * PRF # E8: 4 + A7: 2,3,4 # B9: 6,7 => SOL * STA # E8: 4 + A7: 2,3,4 + B9: 6,7 * CNT 2 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7.....6...5.9...........5...8.6.....4...3......2..7.9..1.5....5..3..2..1....4. | initial |
| 98.7.....6...5.9...5.......5...8.6.....4...3......2..7.9..1.5....5..3..2..1....4. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B2,A3: 1.. / B2 = 1 => 1 pairs (_) / A3 = 1 => 0 pairs (_) G8,H8: 1.. / G8 = 1 => 2 pairs (_) / H8 = 1 => 4 pairs (_) H4,G5: 2.. / H4 = 2 => 1 pairs (_) / G5 = 2 => 1 pairs (_) I4,G6: 4.. / I4 = 4 => 1 pairs (_) / G6 = 4 => 1 pairs (_) F7,E8: 4.. / F7 = 4 => 2 pairs (_) / E8 = 4 => 2 pairs (_) H1,I1: 5.. / H1 = 5 => 0 pairs (_) / I1 = 5 => 0 pairs (_) F5,D6: 5.. / F5 = 5 => 0 pairs (_) / D6 = 5 => 0 pairs (_) I5,H6: 5.. / I5 = 5 => 0 pairs (_) / H6 = 5 => 0 pairs (_) D9,F9: 5.. / D9 = 5 => 0 pairs (_) / F9 = 5 => 0 pairs (_) F5,I5: 5.. / F5 = 5 => 0 pairs (_) / I5 = 5 => 0 pairs (_) D6,H6: 5.. / D6 = 5 => 0 pairs (_) / H6 = 5 => 0 pairs (_) D6,D9: 5.. / D6 = 5 => 0 pairs (_) / D9 = 5 => 0 pairs (_) F5,F9: 5.. / F5 = 5 => 0 pairs (_) / F9 = 5 => 0 pairs (_) H1,H6: 5.. / H1 = 5 => 0 pairs (_) / H6 = 5 => 0 pairs (_) I1,I5: 5.. / I1 = 5 => 0 pairs (_) / I5 = 5 => 0 pairs (_) H8,I9: 9.. / H8 = 9 => 4 pairs (_) / I9 = 9 => 1 pairs (_) * DURATION: 0:00:10.743314 START: 03:45:32.543186 END: 03:45:43.286500 2020-12-15 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G8,H8: 1.. / G8 = 1 => 2 pairs (_) / H8 = 1 ==> 0 pairs (X) H8,I9: 9.. / H8 = 9 ==> 4 pairs (_) / I9 = 9 ==> 1 pairs (_) F7,E8: 4.. / F7 = 4 ==> 2 pairs (_) / E8 = 4 ==> 0 pairs (*) * DURATION: 0:00:52.263146 START: 03:45:43.287072 END: 03:46:35.550218 2020-12-15 * REASONING G8,H8: 1.. * DIS # H8: 1 # G6: 8 => CTR => G6: 1,4 * DIS # H8: 1 + G6: 1,4 # A7: 2,8 => CTR => A7: 3,4,7 * DIS # H8: 1 + G6: 1,4 + A7: 3,4,7 # C7: 3,4,7 => CTR => C7: 2,8 * DIS # H8: 1 + G6: 1,4 + A7: 3,4,7 + C7: 2,8 # G9: 3 => CTR => G9: 7,8 * DIS # H8: 1 + G6: 1,4 + A7: 3,4,7 + C7: 2,8 + G9: 7,8 # A6: 1,8 => CTR => A6: 3 * DIS # H8: 1 + G6: 1,4 + A7: 3,4,7 + C7: 2,8 + G9: 7,8 + A6: 3 => CTR => H8: 6,7,8,9 * STA H8: 6,7,8,9 * CNT 6 HDP CHAINS / 20 HYP OPENED * REASONING H8,I9: 9.. * DIS # H8: 9 # D9: 6,8 => CTR => D9: 2,5,9 * CNT 1 HDP CHAINS / 51 HYP OPENED * REASONING F7,E8: 4.. * DIS # E8: 4 # A7: 7,8 => CTR => A7: 2,3,4 * PRF # E8: 4 + A7: 2,3,4 # B9: 6,7 => SOL * STA # E8: 4 + A7: 2,3,4 + B9: 6,7 * CNT 2 HDP CHAINS / 22 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
34768;12_05;GP;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G8,H8: 1..:
* INC # H8: 1 # C4: 2,9 => UNS * INC # H8: 1 # C4: 3,4,7 => UNS * INC # H8: 1 # G6: 1,4 => UNS * DIS # H8: 1 # G6: 8 => CTR => G6: 1,4 * INC # H8: 1 + G6: 1,4 # B4: 1,4 => UNS * INC # H8: 1 + G6: 1,4 # B4: 2,3,7 => UNS * INC # H8: 1 + G6: 1,4 # I1: 1,4 => UNS * INC # H8: 1 + G6: 1,4 # I2: 1,4 => UNS * INC # H8: 1 + G6: 1,4 # I3: 1,4 => UNS * INC # H8: 1 + G6: 1,4 # D9: 2,8 => UNS * INC # H8: 1 + G6: 1,4 # D9: 5,6 => UNS * DIS # H8: 1 + G6: 1,4 # A7: 2,8 => CTR => A7: 3,4,7 * INC # H8: 1 + G6: 1,4 + A7: 3,4,7 # C7: 2,8 => UNS * INC # H8: 1 + G6: 1,4 + A7: 3,4,7 # C7: 2,8 => UNS * DIS # H8: 1 + G6: 1,4 + A7: 3,4,7 # C7: 3,4,7 => CTR => C7: 2,8 * INC # H8: 1 + G6: 1,4 + A7: 3,4,7 + C7: 2,8 # G9: 7,8 => UNS * DIS # H8: 1 + G6: 1,4 + A7: 3,4,7 + C7: 2,8 # G9: 3 => CTR => G9: 7,8 * DIS # H8: 1 + G6: 1,4 + A7: 3,4,7 + C7: 2,8 + G9: 7,8 # A6: 1,8 => CTR => A6: 3 * DIS # H8: 1 + G6: 1,4 + A7: 3,4,7 + C7: 2,8 + G9: 7,8 + A6: 3 => CTR => H8: 6,7,8,9 * INC H8: 6,7,8,9 # G8: 1 => UNS * STA H8: 6,7,8,9 * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for H8,I9: 9..:
* INC # H8: 9 # B4: 1,2 => UNS * INC # H8: 9 # B4: 3,4,7 => UNS * INC # H8: 9 # H1: 1,2 => UNS * INC # H8: 9 # H2: 1,2 => UNS * INC # H8: 9 # H3: 1,2 => UNS * INC # H8: 9 # A5: 2,8 => UNS * INC # H8: 9 # C5: 2,8 => UNS * INC # H8: 9 # G3: 2,8 => UNS * INC # H8: 9 # G3: 3,4,7 => UNS * INC # H8: 9 # A6: 4,8 => UNS * INC # H8: 9 # C6: 4,8 => UNS * INC # H8: 9 # G3: 4,8 => UNS * INC # H8: 9 # G3: 2,3,7 => UNS * INC # H8: 9 # D7: 6,8 => UNS * INC # H8: 9 # F7: 6,8 => UNS * DIS # H8: 9 # D9: 6,8 => CTR => D9: 2,5,9 * INC # H8: 9 + D9: 2,5,9 # F9: 6,8 => UNS * INC # H8: 9 + D9: 2,5,9 # D3: 6,8 => UNS * INC # H8: 9 + D9: 2,5,9 # D3: 1,2,3,9 => UNS * INC # H8: 9 + D9: 2,5,9 # D7: 6,8 => UNS * INC # H8: 9 + D9: 2,5,9 # F7: 6,8 => UNS * INC # H8: 9 + D9: 2,5,9 # F9: 6,8 => UNS * INC # H8: 9 + D9: 2,5,9 # D3: 6,8 => UNS * INC # H8: 9 + D9: 2,5,9 # D3: 1,2,3,9 => UNS * INC # H8: 9 + D9: 2,5,9 # B4: 1,2 => UNS * INC # H8: 9 + D9: 2,5,9 # B4: 3,4,7 => UNS * INC # H8: 9 + D9: 2,5,9 # H1: 1,2 => UNS * INC # H8: 9 + D9: 2,5,9 # H2: 1,2 => UNS * INC # H8: 9 + D9: 2,5,9 # H3: 1,2 => UNS * INC # H8: 9 + D9: 2,5,9 # A5: 2,8 => UNS * INC # H8: 9 + D9: 2,5,9 # C5: 2,8 => UNS * INC # H8: 9 + D9: 2,5,9 # G3: 2,8 => UNS * INC # H8: 9 + D9: 2,5,9 # G3: 3,4,7 => UNS * INC # H8: 9 + D9: 2,5,9 # A6: 4,8 => UNS * INC # H8: 9 + D9: 2,5,9 # C6: 4,8 => UNS * INC # H8: 9 + D9: 2,5,9 # G3: 4,8 => UNS * INC # H8: 9 + D9: 2,5,9 # G3: 2,3,7 => UNS * INC # H8: 9 + D9: 2,5,9 # D7: 6,8 => UNS * INC # H8: 9 + D9: 2,5,9 # F7: 6,8 => UNS * INC # H8: 9 + D9: 2,5,9 # F9: 6,8 => UNS * INC # H8: 9 + D9: 2,5,9 # D3: 6,8 => UNS * INC # H8: 9 + D9: 2,5,9 # D3: 1,2,3,9 => UNS * INC # H8: 9 + D9: 2,5,9 => UNS * INC # I9: 9 # G6: 1,4 => UNS * INC # I9: 9 # G6: 8 => UNS * INC # I9: 9 # B4: 1,4 => UNS * INC # I9: 9 # B4: 2,3,7 => UNS * INC # I9: 9 # I1: 1,4 => UNS * INC # I9: 9 # I2: 1,4 => UNS * INC # I9: 9 # I3: 1,4 => UNS * INC # I9: 9 => UNS * CNT 51 HDP CHAINS / 51 HYP OPENED
Full list of HDP chains traversed for F7,E8: 4..:
* INC # F7: 4 # D3: 1,6 => UNS * INC # F7: 4 # F3: 1,6 => UNS * INC # F7: 4 # H1: 1,6 => UNS * INC # F7: 4 # I1: 1,6 => UNS * INC # F7: 4 # F5: 1,6 => UNS * INC # F7: 4 # F5: 5,7,9 => UNS * INC # F7: 4 # D2: 1,8 => UNS * INC # F7: 4 # D3: 1,8 => UNS * INC # F7: 4 # F3: 1,8 => UNS * INC # F7: 4 # H2: 1,8 => UNS * INC # F7: 4 # I2: 1,8 => UNS * INC # F7: 4 => UNS * DIS # E8: 4 # A7: 7,8 => CTR => A7: 2,3,4 * INC # E8: 4 + A7: 2,3,4 # C7: 7,8 => UNS * INC # E8: 4 + A7: 2,3,4 # A9: 7,8 => UNS * INC # E8: 4 + A7: 2,3,4 # G8: 7,8 => UNS * INC # E8: 4 + A7: 2,3,4 # H8: 7,8 => UNS * INC # E8: 4 + A7: 2,3,4 # A5: 7,8 => UNS * INC # E8: 4 + A7: 2,3,4 # A5: 1,2 => UNS * INC # E8: 4 + A7: 2,3,4 # C7: 6,7 => UNS * PRF # E8: 4 + A7: 2,3,4 # B9: 6,7 => SOL * STA # E8: 4 + A7: 2,3,4 + B9: 6,7 * CNT 21 HDP CHAINS / 22 HYP OPENED